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Limits
Here is the expression
sin (
x
)/
x
.
In[1]:=
Out[1]=
If you replace
x
by
0
, the expression becomes
0/0
, and you get an indeterminate result.
In[2]:=
Out[2]=
If you find the numerical value of
sin (
x
)/
x
for
x
close to
0
, however, you get a result that is close to
1
.
In[3]:=
Out[3]=
This finds the
limit
of
sin (
x
)/
x
as
x
approaches
0
. The result is indeed
1
.
In[4]:=
Out[4]=
Limit
[
expr
,
x
->
x
0
]
the limit of
expr
as
x
approaches
x
0
Limits.
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Symbolic Mathematics
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